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Finding the Third Proportional to 167.88 and 380.75

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Solution

The third proportional to 167.88 and 380.75 is: 863.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.88 : 380.75 = 380.75 : x
  2. Step 2: Convert to fraction form
    167.88/380.75 = 380.75/x
  3. Step 3: Cross multiply
    167.88x = 380.75 × 380.75
  4. Step 4: Simplify right side
    167.88x = 144,970.56
  5. Step 5: Solve for x
    x = 144,970.56/167.88
  6. Step 6: Final answer
    x = 863.56

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.